LCM for 7 and 35
What's the Least Common Multiple (LCM) of 7 and 35?
(Thirty-five)
Finding LCM for 7 and 35 using GCF's of these numbers
The first method to find LCM for numbers 7 and 35 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 7 and 35 is 7, so
LCM = (7 × 35) ÷ 7
LCM = 245 ÷ 7
LCM = 35
Finding LCM for 7 and 35 by Listing Multiples
The second method to find LCM for numbers 7 and 35 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 7: 7, 14, 21, 28, 35, 42, 49
Multiples of 35: 35, 70, 105, 140, 175, 210, 245, [...], 35
So the LCM for 7 and 35 is 35
Finding LCM for 7 and 35 by Prime Factorization
Another method to find LCM for numbers 7 and 35 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 7: 7 (exponent form: 71)
All Prime Factors of 35: 5, 7 (exponent form: 51, 71)
71 × 51 = 35
Related Calculations
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
<a href="https://calculat.io/en/number/least-common-multiple-lcm-of/7--35">What is the LCM of 7 and 35? - Calculatio</a>
LCM Table
About "Least Common Multiple" Calculator
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers